6-2 Substitution Again Goals: Solve linear systems using substitution

Slides:

Advertisements

Similar presentations

System of Equations A set of two or more equations with the same variables. To solve a system of equations means to find values for the variables in the.

Advertisements

SOLUTION EXAMPLE 1 A linear system with no solution Show that the linear system has no solution. 3x + 2y = 10 Equation 1 3x + 2y = 2 Equation 2 Graph the.

2.4 Solving Equations with Variables on Both Sides

3-2 Solving Systems Algebraically (p. 125) Algebra 2 Prentice Hall, 2007.

Step 1: Simplify Both Sides, if possible Distribute Combine like terms Step 2: Move the variable to one side Add or Subtract Like Term Step 3: Solve for.

Chapter 7 – Solving Systems of Linear Equations

CHAPTER 7-1 SOLVING SYSTEM OF EQUATIONS. WARM UP  Graph the following linear functions:  Y = 2x + 2  Y = 1/2x – 3  Y = -x - 1.

3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

Section 4.2 Graphing Linear Equations Mr. Beltz & Mr. Sparks.

TABLES AND VALUES Section 1.5. Open Sentence Equation.

Solving Linear Systems by Substitution O Chapter 7 Section 2.

Solving Systems Using Elimination

Solving by Substitution Method or Elimination (Addition) Method

Section 4.1 Systems of Linear Equations in Two Variables.

Solving Linear Systems by Substitution

3.4 Solving Equations with Variables on Both Sides Objective: Solve equations that have variables on both sides.

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 4-1 Systems of Equations and Inequalities Chapter 4.

Warm-Up Tickets for a concert cost $10 each if you order them online, but you must pay an $8 service charge per order. The tickets are $12 each if you.

1.3 Solving Equations with Variables on Both Sides

6-2 SOLVING LINEAR SYSTEMS BY SUBSTITUTION Goal: Use substitution to solve a linear system Eligible Content: A / A

Follow the same process as solving multi-step equations. Keep in mind that you want your equation to end up looking like: VARIABLE = NUMBER **It doesn’t.

8.8 Solving Multi-Step Equations and Inequalities.

Goal: Solve quadratic equation by factoring the trinomial. Eligible Content: A

3.2 Solve Linear Systems Algebraically Algebra II.

Lesson 2.8 Graph Linear Inequalities in Two Variables.

Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33.

2-4 Solving Equations Goal:

Warmups – solve using substitution

3-2 Solving Linear Equations by Graphing

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

ALGEBRA 1 CHAPTER 7 LESSON 5 SOLVE SPECIAL TYPES OF LINEAR SYSTEMS.

Special Types of Linear Systems

6-2 Substitution Again Goals: Solve linear systems using substitution

Example: Solve the equation. Multiply both sides by 5. Simplify both sides. Add –3y to both sides. Simplify both sides. Add –30 to both sides. Simplify.

6-6 Systems of Linear Inequalities

Solving Equations with Variables on Both Sides

5-5 Absolute Value Inequalities

8-6 Solving Quadratic Equations using Factoring

1-5 Equations Goals: Solve equations with one variable

Chapter 7 – Systems of Linear Equations and Inequalities

Chapter 5: Systems of Linear Equations

6-2 Solving Systems using Substitution

12 Systems of Linear Equations and Inequalities.

Solve Systems of Linear Equations in Three Variables

Solve a system of linear equation in two variables

Solve Systems of Linear Equations in Three Variables

3.4 - Solving Variables on Both Sides

Do Now 1/18/12 In your notebook, explain how you know if two equations contain one solution, no solutions, or infinitely many solutions. Provide an example.

Solving Equations with Variables on Both Sides

5-5 Absolute Value Inequalities

Systems of Equations and Inequalities

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

6-2 Solving Linear Systems by substitution

Lesson Objectives: I will be able to …

2-4 Solving equations with variables on both sides

- Finish Unit 1 test - Solving Equations variables on both sides

Bellwork (1 of 2) Describe the number of solutions for each below:

Algebra 2 Ch.3 Notes Page 15 P Solving Systems Algebraically.

There are infinite solutions to the system.

Warm Up #30: Solve by substitution

Solve Systems of Linear Inequalities

Warm Up Check to see if the point is a solution for the

9.7 Solving Systems of Equations Algebraically

7.1 Solving Systems of Equations

2 Chapter Chapter 2 Equations, Inequalities and Problem Solving.

6-3 & 6-4 Solving Systems by Elimination

6-3 & 6-4 Elimination Goals: Solve systems using linear combinations.

Section 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities.

6-6 Systems of Linear Inequalities

Presentation transcript:

6-2 Substitution Again Goals: Solve linear systems using substitution Interpret solutions to special problems Eligible Content: A1.1.2.2.1 / A1.1.2.2.2

Practice Complete worksheet – “Monstrous Mammal”

Special Problems No solution Many solutions There is no point in common All variables will cancel out You will be left with a false statement: 4 = 12 Many solutions There are many points in common You will be left with a true statement: 5 = 5

Examples 3x + y = –1 –9x – 3y = 3 many solutions x – 2y = 5 no solution 4x + 4y = –8 x + y = –2 many solutions 2x + y = –1 –6x – 3y = –15 no solution

Practice (not all problems are special) x – 2y = 1 –2x + 4y = 10 x – 3y = –24 5x + 8y = –5 6x + y = 14 12x + 2y = 28 No solution (-9, 5) Many solutions

Homework Page 347 #14-19